The population of a town is f(x) = 3x - 11x + 240 people after x weeks (for 0 ≤ x ≤ 20). (a) Find f'(x) by using the definition of the derivative. (b) Use your answer to part (a) to find the instantaneous rate of change of the population after 1 week. Be sure to interpret the sign of your answer. The population is --Select--- at a rate of people per week after 1 week. (c) Use your answer to part (a) to find the instantaneous rate of change of the population after 5 weeks. The population is --Select-- at a rate of people per week after 5 weeks.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
The population of a town is f(x) = 3x - 11x + 240 people after x weeks (for 0 ≤ x ≤ 20).
(a) Find f'(x) by using the definition of the derivative.
(b) Use your answer to part (a) to find the instantaneous rate of change of the population after 1 week. Be sure to interpret the sign of your answer.
The population is ---Select--- at a rate of
people per week after 1 week.
(c) Use your answer to part (a) to find the instantaneous rate of change of the population after 5 weeks.
The population is --Select--at a rate of
people per week after 5 weeks.
Transcribed Image Text:The population of a town is f(x) = 3x - 11x + 240 people after x weeks (for 0 ≤ x ≤ 20). (a) Find f'(x) by using the definition of the derivative. (b) Use your answer to part (a) to find the instantaneous rate of change of the population after 1 week. Be sure to interpret the sign of your answer. The population is ---Select--- at a rate of people per week after 1 week. (c) Use your answer to part (a) to find the instantaneous rate of change of the population after 5 weeks. The population is --Select--at a rate of people per week after 5 weeks.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning